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Finding the Fourth Proportional to 9,281.88, 13,931.19 and 4,354.38

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Solution

The fourth proportional to 9,281.88, 13,931.19 and 4,354.38 is: 6,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.88 : 13,931.19 = 4,354.38 : x
  2. Step 2: Convert to fraction form
    9,281.88/13,931.19 = 4,354.38/x
  3. Step 3: Cross multiply
    9,281.88x = 13,931.19 × 4,354.38
  4. Step 4: Simplify right side
    9,281.88x = 60,661,695.11
  5. Step 5: Solve for x
    x = 60,661,695.11/9,281.88
  6. Step 6: Final answer
    x = 6,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.