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Finding the Fourth Proportional to 7,047.04, 9,705.23 and 6,893.95

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Solution

The fourth proportional to 7,047.04, 9,705.23 and 6,893.95 is: 9,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.04 : 9,705.23 = 6,893.95 : x
  2. Step 2: Convert to fraction form
    7,047.04/9,705.23 = 6,893.95/x
  3. Step 3: Cross multiply
    7,047.04x = 9,705.23 × 6,893.95
  4. Step 4: Simplify right side
    7,047.04x = 66,907,337.48
  5. Step 5: Solve for x
    x = 66,907,337.48/7,047.04
  6. Step 6: Final answer
    x = 9,494.39

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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.