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Finding the Fourth Proportional to 9,695.64, 14,531.26 and 5,253.14

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Solution

The fourth proportional to 9,695.64, 14,531.26 and 5,253.14 is: 7,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.64 : 14,531.26 = 5,253.14 : x
  2. Step 2: Convert to fraction form
    9,695.64/14,531.26 = 5,253.14/x
  3. Step 3: Cross multiply
    9,695.64x = 14,531.26 × 5,253.14
  4. Step 4: Simplify right side
    9,695.64x = 76,334,743.16
  5. Step 5: Solve for x
    x = 76,334,743.16/9,695.64
  6. Step 6: Final answer
    x = 7,873.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.