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Finding the Fourth Proportional to 9,613.53, 13,261.86 and 5,634

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Solution

The fourth proportional to 9,613.53, 13,261.86 and 5,634 is: 7,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.53 : 13,261.86 = 5,634 : x
  2. Step 2: Convert to fraction form
    9,613.53/13,261.86 = 5,634/x
  3. Step 3: Cross multiply
    9,613.53x = 13,261.86 × 5,634
  4. Step 4: Simplify right side
    9,613.53x = 74,717,319.24
  5. Step 5: Solve for x
    x = 74,717,319.24/9,613.53
  6. Step 6: Final answer
    x = 7,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.