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Finding the Fourth Proportional to 9,687.64, 13,368.54 and 5,708.92

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Solution

The fourth proportional to 9,687.64, 13,368.54 and 5,708.92 is: 7,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.64 : 13,368.54 = 5,708.92 : x
  2. Step 2: Convert to fraction form
    9,687.64/13,368.54 = 5,708.92/x
  3. Step 3: Cross multiply
    9,687.64x = 13,368.54 × 5,708.92
  4. Step 4: Simplify right side
    9,687.64x = 76,319,925.38
  5. Step 5: Solve for x
    x = 76,319,925.38/9,687.64
  6. Step 6: Final answer
    x = 7,878.07

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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.