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Finding the Fourth Proportional to 9,617.88, 14,421.80 and 6,497.76

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Solution

The fourth proportional to 9,617.88, 14,421.80 and 6,497.76 is: 9,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.88 : 14,421.80 = 6,497.76 : x
  2. Step 2: Convert to fraction form
    9,617.88/14,421.80 = 6,497.76/x
  3. Step 3: Cross multiply
    9,617.88x = 14,421.80 × 6,497.76
  4. Step 4: Simplify right side
    9,617.88x = 93,709,395.17
  5. Step 5: Solve for x
    x = 93,709,395.17/9,617.88
  6. Step 6: Final answer
    x = 9,743.25

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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.