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Finding the Fourth Proportional to 9,497.70, 14,246.55 and 6,387.30

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Solution

The fourth proportional to 9,497.70, 14,246.55 and 6,387.30 is: 9,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.70 : 14,246.55 = 6,387.30 : x
  2. Step 2: Convert to fraction form
    9,497.70/14,246.55 = 6,387.30/x
  3. Step 3: Cross multiply
    9,497.70x = 14,246.55 × 6,387.30
  4. Step 4: Simplify right side
    9,497.70x = 90,996,988.82
  5. Step 5: Solve for x
    x = 90,996,988.82/9,497.70
  6. Step 6: Final answer
    x = 9,580.95

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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.