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Finding the Fourth Proportional to 9,527.85, 14,282.55 and 4,259.88

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Solution

The fourth proportional to 9,527.85, 14,282.55 and 4,259.88 is: 6,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.85 : 14,282.55 = 4,259.88 : x
  2. Step 2: Convert to fraction form
    9,527.85/14,282.55 = 4,259.88/x
  3. Step 3: Cross multiply
    9,527.85x = 14,282.55 × 4,259.88
  4. Step 4: Simplify right side
    9,527.85x = 60,841,949.09
  5. Step 5: Solve for x
    x = 60,841,949.09/9,527.85
  6. Step 6: Final answer
    x = 6,385.70

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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.