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Finding the Fourth Proportional to 6,073.16, 9,109.74 and 4,688.52

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Solution

The fourth proportional to 6,073.16, 9,109.74 and 4,688.52 is: 7,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.16 : 9,109.74 = 4,688.52 : x
  2. Step 2: Convert to fraction form
    6,073.16/9,109.74 = 4,688.52/x
  3. Step 3: Cross multiply
    6,073.16x = 9,109.74 × 4,688.52
  4. Step 4: Simplify right side
    6,073.16x = 42,711,164.02
  5. Step 5: Solve for x
    x = 42,711,164.02/6,073.16
  6. Step 6: Final answer
    x = 7,032.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.