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Finding the Fourth Proportional to 9,886.32, 13,646.16 and 5,697.36

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Solution

The fourth proportional to 9,886.32, 13,646.16 and 5,697.36 is: 7,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 13,646.16 = 5,697.36 : x
  2. Step 2: Convert to fraction form
    9,886.32/13,646.16 = 5,697.36/x
  3. Step 3: Cross multiply
    9,886.32x = 13,646.16 × 5,697.36
  4. Step 4: Simplify right side
    9,886.32x = 77,747,086.14
  5. Step 5: Solve for x
    x = 77,747,086.14/9,886.32
  6. Step 6: Final answer
    x = 7,864.11

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