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Finding the Fourth Proportional to 9,931.57, 14,883.51 and 7,463.51

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Solution

The fourth proportional to 9,931.57, 14,883.51 and 7,463.51 is: 11,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.57 : 14,883.51 = 7,463.51 : x
  2. Step 2: Convert to fraction form
    9,931.57/14,883.51 = 7,463.51/x
  3. Step 3: Cross multiply
    9,931.57x = 14,883.51 × 7,463.51
  4. Step 4: Simplify right side
    9,931.57x = 111,083,151.30
  5. Step 5: Solve for x
    x = 111,083,151.30/9,931.57
  6. Step 6: Final answer
    x = 11,184.86

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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.