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Finding the Fourth Proportional to 9,878.32, 13,635.12 and 5,689.36

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Solution

The fourth proportional to 9,878.32, 13,635.12 and 5,689.36 is: 7,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.32 : 13,635.12 = 5,689.36 : x
  2. Step 2: Convert to fraction form
    9,878.32/13,635.12 = 5,689.36/x
  3. Step 3: Cross multiply
    9,878.32x = 13,635.12 × 5,689.36
  4. Step 4: Simplify right side
    9,878.32x = 77,575,106.32
  5. Step 5: Solve for x
    x = 77,575,106.32/9,878.32
  6. Step 6: Final answer
    x = 7,853.07

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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.