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Finding the Fourth Proportional to 9,569.16, 14,341.14 and 5,126.31

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Solution

The fourth proportional to 9,569.16, 14,341.14 and 5,126.31 is: 7,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.16 : 14,341.14 = 5,126.31 : x
  2. Step 2: Convert to fraction form
    9,569.16/14,341.14 = 5,126.31/x
  3. Step 3: Cross multiply
    9,569.16x = 14,341.14 × 5,126.31
  4. Step 4: Simplify right side
    9,569.16x = 73,517,129.39
  5. Step 5: Solve for x
    x = 73,517,129.39/9,569.16
  6. Step 6: Final answer
    x = 7,682.72

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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.