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Finding the Fourth Proportional to 9,759.59, 14,612.10 and 5,301.25

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Solution

The fourth proportional to 9,759.59, 14,612.10 and 5,301.25 is: 7,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.59 : 14,612.10 = 5,301.25 : x
  2. Step 2: Convert to fraction form
    9,759.59/14,612.10 = 5,301.25/x
  3. Step 3: Cross multiply
    9,759.59x = 14,612.10 × 5,301.25
  4. Step 4: Simplify right side
    9,759.59x = 77,462,338.72
  5. Step 5: Solve for x
    x = 77,462,338.72/9,759.59
  6. Step 6: Final answer
    x = 7,937.05

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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.