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Finding the Fourth Proportional to 9,919.90, 13,681.56 and 8,432.74

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Solution

The fourth proportional to 9,919.90, 13,681.56 and 8,432.74 is: 11,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.90 : 13,681.56 = 8,432.74 : x
  2. Step 2: Convert to fraction form
    9,919.90/13,681.56 = 8,432.74/x
  3. Step 3: Cross multiply
    9,919.90x = 13,681.56 × 8,432.74
  4. Step 4: Simplify right side
    9,919.90x = 115,373,038.27
  5. Step 5: Solve for x
    x = 115,373,038.27/9,919.90
  6. Step 6: Final answer
    x = 11,630.46

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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.