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Finding the Fourth Proportional to 9,113.59, 13,670.38 and 5,215.24

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Solution

The fourth proportional to 9,113.59, 13,670.38 and 5,215.24 is: 7,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.59 : 13,670.38 = 5,215.24 : x
  2. Step 2: Convert to fraction form
    9,113.59/13,670.38 = 5,215.24/x
  3. Step 3: Cross multiply
    9,113.59x = 13,670.38 × 5,215.24
  4. Step 4: Simplify right side
    9,113.59x = 71,294,312.59
  5. Step 5: Solve for x
    x = 71,294,312.59/9,113.59
  6. Step 6: Final answer
    x = 7,822.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.