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Finding the Fourth Proportional to 9,781.95, 14,678.15 and 6,496.59

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Solution

The fourth proportional to 9,781.95, 14,678.15 and 6,496.59 is: 9,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.95 : 14,678.15 = 6,496.59 : x
  2. Step 2: Convert to fraction form
    9,781.95/14,678.15 = 6,496.59/x
  3. Step 3: Cross multiply
    9,781.95x = 14,678.15 × 6,496.59
  4. Step 4: Simplify right side
    9,781.95x = 95,357,890.03
  5. Step 5: Solve for x
    x = 95,357,890.03/9,781.95
  6. Step 6: Final answer
    x = 9,748.35

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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.