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Finding the Fourth Proportional to 9,712.78, 14,567.58 and 3,139

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Solution

The fourth proportional to 9,712.78, 14,567.58 and 3,139 is: 4,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.78 : 14,567.58 = 3,139 : x
  2. Step 2: Convert to fraction form
    9,712.78/14,567.58 = 3,139/x
  3. Step 3: Cross multiply
    9,712.78x = 14,567.58 × 3,139
  4. Step 4: Simplify right side
    9,712.78x = 45,727,633.62
  5. Step 5: Solve for x
    x = 45,727,633.62/9,712.78
  6. Step 6: Final answer
    x = 4,707.99

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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.