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Finding the Fourth Proportional to 9,710.38, 14,565.42 and 2,784.88

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Solution

The fourth proportional to 9,710.38, 14,565.42 and 2,784.88 is: 4,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.38 : 14,565.42 = 2,784.88 : x
  2. Step 2: Convert to fraction form
    9,710.38/14,565.42 = 2,784.88/x
  3. Step 3: Cross multiply
    9,710.38x = 14,565.42 × 2,784.88
  4. Step 4: Simplify right side
    9,710.38x = 40,562,946.85
  5. Step 5: Solve for x
    x = 40,562,946.85/9,710.38
  6. Step 6: Final answer
    x = 4,177.28

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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.