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Finding the Fourth Proportional to 9,952.66, 14,923.84 and 2,931.76

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Solution

The fourth proportional to 9,952.66, 14,923.84 and 2,931.76 is: 4,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.66 : 14,923.84 = 2,931.76 : x
  2. Step 2: Convert to fraction form
    9,952.66/14,923.84 = 2,931.76/x
  3. Step 3: Cross multiply
    9,952.66x = 14,923.84 × 2,931.76
  4. Step 4: Simplify right side
    9,952.66x = 43,753,117.16
  5. Step 5: Solve for x
    x = 43,753,117.16/9,952.66
  6. Step 6: Final answer
    x = 4,396.12

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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.