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Finding the Fourth Proportional to 9,031.16, 13,551.92 and 4,871.16

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Solution

The fourth proportional to 9,031.16, 13,551.92 and 4,871.16 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.16 : 13,551.92 = 4,871.16 : x
  2. Step 2: Convert to fraction form
    9,031.16/13,551.92 = 4,871.16/x
  3. Step 3: Cross multiply
    9,031.16x = 13,551.92 × 4,871.16
  4. Step 4: Simplify right side
    9,031.16x = 66,013,570.63
  5. Step 5: Solve for x
    x = 66,013,570.63/9,031.16
  6. Step 6: Final answer
    x = 7,309.53

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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.