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Finding the Fourth Proportional to 9,688.60, 14,532.90 and 4,140.10

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Solution

The fourth proportional to 9,688.60, 14,532.90 and 4,140.10 is: 6,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.60 : 14,532.90 = 4,140.10 : x
  2. Step 2: Convert to fraction form
    9,688.60/14,532.90 = 4,140.10/x
  3. Step 3: Cross multiply
    9,688.60x = 14,532.90 × 4,140.10
  4. Step 4: Simplify right side
    9,688.60x = 60,167,659.29
  5. Step 5: Solve for x
    x = 60,167,659.29/9,688.60
  6. Step 6: Final answer
    x = 6,210.15

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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.