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Finding the Fourth Proportional to 9,707.70, 14,561.55 and 4,160.10

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Solution

The fourth proportional to 9,707.70, 14,561.55 and 4,160.10 is: 6,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.70 : 14,561.55 = 4,160.10 : x
  2. Step 2: Convert to fraction form
    9,707.70/14,561.55 = 4,160.10/x
  3. Step 3: Cross multiply
    9,707.70x = 14,561.55 × 4,160.10
  4. Step 4: Simplify right side
    9,707.70x = 60,577,504.16
  5. Step 5: Solve for x
    x = 60,577,504.16/9,707.70
  6. Step 6: Final answer
    x = 6,240.15

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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.