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Finding the Fourth Proportional to 9,132.84, 12,603.89 and 5,152.50

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Solution

The fourth proportional to 9,132.84, 12,603.89 and 5,152.50 is: 7,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.84 : 12,603.89 = 5,152.50 : x
  2. Step 2: Convert to fraction form
    9,132.84/12,603.89 = 5,152.50/x
  3. Step 3: Cross multiply
    9,132.84x = 12,603.89 × 5,152.50
  4. Step 4: Simplify right side
    9,132.84x = 64,941,517.46
  5. Step 5: Solve for x
    x = 64,941,517.46/9,132.84
  6. Step 6: Final answer
    x = 7,110.77

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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.