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Finding the Fourth Proportional to 9,132.70, 12,602.91 and 5,153.98

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Solution

The fourth proportional to 9,132.70, 12,602.91 and 5,153.98 is: 7,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.70 : 12,602.91 = 5,153.98 : x
  2. Step 2: Convert to fraction form
    9,132.70/12,602.91 = 5,153.98/x
  3. Step 3: Cross multiply
    9,132.70x = 12,602.91 × 5,153.98
  4. Step 4: Simplify right side
    9,132.70x = 64,955,146.08
  5. Step 5: Solve for x
    x = 64,955,146.08/9,132.70
  6. Step 6: Final answer
    x = 7,112.37

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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.