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Finding the Fourth Proportional to 9,937.59, 14,892.40 and 7,848.42

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Solution

The fourth proportional to 9,937.59, 14,892.40 and 7,848.42 is: 11,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.59 : 14,892.40 = 7,848.42 : x
  2. Step 2: Convert to fraction form
    9,937.59/14,892.40 = 7,848.42/x
  3. Step 3: Cross multiply
    9,937.59x = 14,892.40 × 7,848.42
  4. Step 4: Simplify right side
    9,937.59x = 116,881,810.01
  5. Step 5: Solve for x
    x = 116,881,810.01/9,937.59
  6. Step 6: Final answer
    x = 11,761.59

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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.