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Finding the Fourth Proportional to 25,978.04, 38,943.68 and 9,334.16

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Solution

The fourth proportional to 25,978.04, 38,943.68 and 9,334.16 is: 13,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.04 : 38,943.68 = 9,334.16 : x
  2. Step 2: Convert to fraction form
    25,978.04/38,943.68 = 9,334.16/x
  3. Step 3: Cross multiply
    25,978.04x = 38,943.68 × 9,334.16
  4. Step 4: Simplify right side
    25,978.04x = 363,506,298.72
  5. Step 5: Solve for x
    x = 363,506,298.72/25,978.04
  6. Step 6: Final answer
    x = 13,992.83

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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.