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Finding the Fourth Proportional to 9,417.24, 12,998.18 and 6,434.28

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Solution

The fourth proportional to 9,417.24, 12,998.18 and 6,434.28 is: 8,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.24 : 12,998.18 = 6,434.28 : x
  2. Step 2: Convert to fraction form
    9,417.24/12,998.18 = 6,434.28/x
  3. Step 3: Cross multiply
    9,417.24x = 12,998.18 × 6,434.28
  4. Step 4: Simplify right side
    9,417.24x = 83,633,929.61
  5. Step 5: Solve for x
    x = 83,633,929.61/9,417.24
  6. Step 6: Final answer
    x = 8,880.94

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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.