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Finding the Fourth Proportional to 9,688.52, 14,520.59 and 5,246.01

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Solution

The fourth proportional to 9,688.52, 14,520.59 and 5,246.01 is: 7,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.52 : 14,520.59 = 5,246.01 : x
  2. Step 2: Convert to fraction form
    9,688.52/14,520.59 = 5,246.01/x
  3. Step 3: Cross multiply
    9,688.52x = 14,520.59 × 5,246.01
  4. Step 4: Simplify right side
    9,688.52x = 76,175,061.51
  5. Step 5: Solve for x
    x = 76,175,061.51/9,688.52
  6. Step 6: Final answer
    x = 7,862.41

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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.