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Finding the Fourth Proportional to 7,102,998.03, 9,804,802.82 and 4,655,766.69

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Solution

The fourth proportional to 7,102,998.03, 9,804,802.82 and 4,655,766.69 is: 6,426,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102,998.03 : 9,804,802.82 = 4,655,766.69 : x
  2. Step 2: Convert to fraction form
    7,102,998.03/9,804,802.82 = 4,655,766.69/x
  3. Step 3: Cross multiply
    7,102,998.03x = 9,804,802.82 × 4,655,766.69
  4. Step 4: Simplify right side
    7,102,998.03x = 45,648,874,371,374.07
  5. Step 5: Solve for x
    x = 45,648,874,371,374.07/7,102,998.03
  6. Step 6: Final answer
    x = 6,426,705.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.