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Finding the Fourth Proportional to 9,359.10, 12,915.49 and 5,110.16

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Solution

The fourth proportional to 9,359.10, 12,915.49 and 5,110.16 is: 7,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.10 : 12,915.49 = 5,110.16 : x
  2. Step 2: Convert to fraction form
    9,359.10/12,915.49 = 5,110.16/x
  3. Step 3: Cross multiply
    9,359.10x = 12,915.49 × 5,110.16
  4. Step 4: Simplify right side
    9,359.10x = 66,000,196.92
  5. Step 5: Solve for x
    x = 66,000,196.92/9,359.10
  6. Step 6: Final answer
    x = 7,051.98

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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.