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Finding the Fourth Proportional to 9,952.82, 14,901.15 and 5,262.20

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Solution

The fourth proportional to 9,952.82, 14,901.15 and 5,262.20 is: 7,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.82 : 14,901.15 = 5,262.20 : x
  2. Step 2: Convert to fraction form
    9,952.82/14,901.15 = 5,262.20/x
  3. Step 3: Cross multiply
    9,952.82x = 14,901.15 × 5,262.20
  4. Step 4: Simplify right side
    9,952.82x = 78,412,831.53
  5. Step 5: Solve for x
    x = 78,412,831.53/9,952.82
  6. Step 6: Final answer
    x = 7,878.45

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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.