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Finding the Fourth Proportional to 9,862.12, 14,799.74 and 4,668.52

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Solution

The fourth proportional to 9,862.12, 14,799.74 and 4,668.52 is: 7,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.12 : 14,799.74 = 4,668.52 : x
  2. Step 2: Convert to fraction form
    9,862.12/14,799.74 = 4,668.52/x
  3. Step 3: Cross multiply
    9,862.12x = 14,799.74 × 4,668.52
  4. Step 4: Simplify right side
    9,862.12x = 69,092,882.18
  5. Step 5: Solve for x
    x = 69,092,882.18/9,862.12
  6. Step 6: Final answer
    x = 7,005.89

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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.