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Finding the Fourth Proportional to 9,130.86, 12,600.69 and 5,152.02

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Solution

The fourth proportional to 9,130.86, 12,600.69 and 5,152.02 is: 7,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.86 : 12,600.69 = 5,152.02 : x
  2. Step 2: Convert to fraction form
    9,130.86/12,600.69 = 5,152.02/x
  3. Step 3: Cross multiply
    9,130.86x = 12,600.69 × 5,152.02
  4. Step 4: Simplify right side
    9,130.86x = 64,919,006.89
  5. Step 5: Solve for x
    x = 64,919,006.89/9,130.86
  6. Step 6: Final answer
    x = 7,109.85

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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.