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Finding the Fourth Proportional to 9,349.71, 12,902.58 and 5,100.72

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Solution

The fourth proportional to 9,349.71, 12,902.58 and 5,100.72 is: 7,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.71 : 12,902.58 = 5,100.72 : x
  2. Step 2: Convert to fraction form
    9,349.71/12,902.58 = 5,100.72/x
  3. Step 3: Cross multiply
    9,349.71x = 12,902.58 × 5,100.72
  4. Step 4: Simplify right side
    9,349.71x = 65,812,447.86
  5. Step 5: Solve for x
    x = 65,812,447.86/9,349.71
  6. Step 6: Final answer
    x = 7,038.98

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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.