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Finding the Fourth Proportional to 9,566.20, 14,279.59 and 9,140.14

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Solution

The fourth proportional to 9,566.20, 14,279.59 and 9,140.14 is: 13,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.20 : 14,279.59 = 9,140.14 : x
  2. Step 2: Convert to fraction form
    9,566.20/14,279.59 = 9,140.14/x
  3. Step 3: Cross multiply
    9,566.20x = 14,279.59 × 9,140.14
  4. Step 4: Simplify right side
    9,566.20x = 130,517,451.74
  5. Step 5: Solve for x
    x = 130,517,451.74/9,566.20
  6. Step 6: Final answer
    x = 13,643.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.