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Finding the Fourth Proportional to 9,707.66, 14,564.05 and 3,044.14

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Solution

The fourth proportional to 9,707.66, 14,564.05 and 3,044.14 is: 4,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.66 : 14,564.05 = 3,044.14 : x
  2. Step 2: Convert to fraction form
    9,707.66/14,564.05 = 3,044.14/x
  3. Step 3: Cross multiply
    9,707.66x = 14,564.05 × 3,044.14
  4. Step 4: Simplify right side
    9,707.66x = 44,335,082.67
  5. Step 5: Solve for x
    x = 44,335,082.67/9,707.66
  6. Step 6: Final answer
    x = 4,567.02

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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.