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Finding the Fourth Proportional to 9,031.88, 13,530.80 and 7,078.16

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Solution

The fourth proportional to 9,031.88, 13,530.80 and 7,078.16 is: 10,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.88 : 13,530.80 = 7,078.16 : x
  2. Step 2: Convert to fraction form
    9,031.88/13,530.80 = 7,078.16/x
  3. Step 3: Cross multiply
    9,031.88x = 13,530.80 × 7,078.16
  4. Step 4: Simplify right side
    9,031.88x = 95,773,167.33
  5. Step 5: Solve for x
    x = 95,773,167.33/9,031.88
  6. Step 6: Final answer
    x = 10,603.90

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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.