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Finding the Fourth Proportional to 9,254.56, 13,859.52 and 6,484

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Solution

The fourth proportional to 9,254.56, 13,859.52 and 6,484 is: 9,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.56 : 13,859.52 = 6,484 : x
  2. Step 2: Convert to fraction form
    9,254.56/13,859.52 = 6,484/x
  3. Step 3: Cross multiply
    9,254.56x = 13,859.52 × 6,484
  4. Step 4: Simplify right side
    9,254.56x = 89,865,127.68
  5. Step 5: Solve for x
    x = 89,865,127.68/9,254.56
  6. Step 6: Final answer
    x = 9,710.36

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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.