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Finding the Fourth Proportional to 9,130.10, 12,599.46 and 5,151.20

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Solution

The fourth proportional to 9,130.10, 12,599.46 and 5,151.20 is: 7,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.10 : 12,599.46 = 5,151.20 : x
  2. Step 2: Convert to fraction form
    9,130.10/12,599.46 = 5,151.20/x
  3. Step 3: Cross multiply
    9,130.10x = 12,599.46 × 5,151.20
  4. Step 4: Simplify right side
    9,130.10x = 64,902,275.35
  5. Step 5: Solve for x
    x = 64,902,275.35/9,130.10
  6. Step 6: Final answer
    x = 7,108.61

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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.