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Finding the Fourth Proportional to 9,031.21, 13,528.62 and 7,565.11

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Solution

The fourth proportional to 9,031.21, 13,528.62 and 7,565.11 is: 11,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.21 : 13,528.62 = 7,565.11 : x
  2. Step 2: Convert to fraction form
    9,031.21/13,528.62 = 7,565.11/x
  3. Step 3: Cross multiply
    9,031.21x = 13,528.62 × 7,565.11
  4. Step 4: Simplify right side
    9,031.21x = 102,345,498.45
  5. Step 5: Solve for x
    x = 102,345,498.45/9,031.21
  6. Step 6: Final answer
    x = 11,332.42

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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.