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Finding the Fourth Proportional to 9,031.65, 12,463.77 and 5,052.98

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Solution

The fourth proportional to 9,031.65, 12,463.77 and 5,052.98 is: 6,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.65 : 12,463.77 = 5,052.98 : x
  2. Step 2: Convert to fraction form
    9,031.65/12,463.77 = 5,052.98/x
  3. Step 3: Cross multiply
    9,031.65x = 12,463.77 × 5,052.98
  4. Step 4: Simplify right side
    9,031.65x = 62,979,230.64
  5. Step 5: Solve for x
    x = 62,979,230.64/9,031.65
  6. Step 6: Final answer
    x = 6,973.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.