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Finding the Fourth Proportional to 9,417.96, 12,998.49 and 6,432.69

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Solution

The fourth proportional to 9,417.96, 12,998.49 and 6,432.69 is: 8,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.96 : 12,998.49 = 6,432.69 : x
  2. Step 2: Convert to fraction form
    9,417.96/12,998.49 = 6,432.69/x
  3. Step 3: Cross multiply
    9,417.96x = 12,998.49 × 6,432.69
  4. Step 4: Simplify right side
    9,417.96x = 83,615,256.64
  5. Step 5: Solve for x
    x = 83,615,256.64/9,417.96
  6. Step 6: Final answer
    x = 8,878.28

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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.