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Finding the Fourth Proportional to 9,348.17, 12,900.10 and 5,156.42

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Solution

The fourth proportional to 9,348.17, 12,900.10 and 5,156.42 is: 7,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.17 : 12,900.10 = 5,156.42 : x
  2. Step 2: Convert to fraction form
    9,348.17/12,900.10 = 5,156.42/x
  3. Step 3: Cross multiply
    9,348.17x = 12,900.10 × 5,156.42
  4. Step 4: Simplify right side
    9,348.17x = 66,518,333.64
  5. Step 5: Solve for x
    x = 66,518,333.64/9,348.17
  6. Step 6: Final answer
    x = 7,115.65

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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.