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Finding the Fourth Proportional to 9,259.64, 13,888.56 and 5,098.28

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Solution

The fourth proportional to 9,259.64, 13,888.56 and 5,098.28 is: 7,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.64 : 13,888.56 = 5,098.28 : x
  2. Step 2: Convert to fraction form
    9,259.64/13,888.56 = 5,098.28/x
  3. Step 3: Cross multiply
    9,259.64x = 13,888.56 × 5,098.28
  4. Step 4: Simplify right side
    9,259.64x = 70,807,767.68
  5. Step 5: Solve for x
    x = 70,807,767.68/9,259.64
  6. Step 6: Final answer
    x = 7,646.92

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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.