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Finding the Fourth Proportional to 9,287.90, 13,920.33 and 4,602.86

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Solution

The fourth proportional to 9,287.90, 13,920.33 and 4,602.86 is: 6,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.90 : 13,920.33 = 4,602.86 : x
  2. Step 2: Convert to fraction form
    9,287.90/13,920.33 = 4,602.86/x
  3. Step 3: Cross multiply
    9,287.90x = 13,920.33 × 4,602.86
  4. Step 4: Simplify right side
    9,287.90x = 64,073,330.14
  5. Step 5: Solve for x
    x = 64,073,330.14/9,287.90
  6. Step 6: Final answer
    x = 6,898.58

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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.