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Finding the Fourth Proportional to 9,497.17, 13,105.87 and 5,248.00

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Solution

The fourth proportional to 9,497.17, 13,105.87 and 5,248.00 is: 7,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.17 : 13,105.87 = 5,248.00 : x
  2. Step 2: Convert to fraction form
    9,497.17/13,105.87 = 5,248.00/x
  3. Step 3: Cross multiply
    9,497.17x = 13,105.87 × 5,248.00
  4. Step 4: Simplify right side
    9,497.17x = 68,779,559.88
  5. Step 5: Solve for x
    x = 68,779,559.88/9,497.17
  6. Step 6: Final answer
    x = 7,242.11

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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.