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Finding the Fourth Proportional to 9,142.71, 12,607.99 and 5,558.16

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Solution

The fourth proportional to 9,142.71, 12,607.99 and 5,558.16 is: 7,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.71 : 12,607.99 = 5,558.16 : x
  2. Step 2: Convert to fraction form
    9,142.71/12,607.99 = 5,558.16/x
  3. Step 3: Cross multiply
    9,142.71x = 12,607.99 × 5,558.16
  4. Step 4: Simplify right side
    9,142.71x = 70,077,225.70
  5. Step 5: Solve for x
    x = 70,077,225.70/9,142.71
  6. Step 6: Final answer
    x = 7,664.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.