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Finding the Fourth Proportional to 9,937.44, 14,905.20 and 5,005.12

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Solution

The fourth proportional to 9,937.44, 14,905.20 and 5,005.12 is: 7,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.44 : 14,905.20 = 5,005.12 : x
  2. Step 2: Convert to fraction form
    9,937.44/14,905.20 = 5,005.12/x
  3. Step 3: Cross multiply
    9,937.44x = 14,905.20 × 5,005.12
  4. Step 4: Simplify right side
    9,937.44x = 74,602,314.62
  5. Step 5: Solve for x
    x = 74,602,314.62/9,937.44
  6. Step 6: Final answer
    x = 7,507.20

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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.