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Finding the Fourth Proportional to 7,051.23, 9,730.71 and 4,398.66

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Solution

The fourth proportional to 7,051.23, 9,730.71 and 4,398.66 is: 6,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.23 : 9,730.71 = 4,398.66 : x
  2. Step 2: Convert to fraction form
    7,051.23/9,730.71 = 4,398.66/x
  3. Step 3: Cross multiply
    7,051.23x = 9,730.71 × 4,398.66
  4. Step 4: Simplify right side
    7,051.23x = 42,802,084.85
  5. Step 5: Solve for x
    x = 42,802,084.85/7,051.23
  6. Step 6: Final answer
    x = 6,070.16

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