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Finding the Fourth Proportional to 9,417.84, 12,998.39 and 5,440.74

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Solution

The fourth proportional to 9,417.84, 12,998.39 and 5,440.74 is: 7,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.84 : 12,998.39 = 5,440.74 : x
  2. Step 2: Convert to fraction form
    9,417.84/12,998.39 = 5,440.74/x
  3. Step 3: Cross multiply
    9,417.84x = 12,998.39 × 5,440.74
  4. Step 4: Simplify right side
    9,417.84x = 70,720,833.20
  5. Step 5: Solve for x
    x = 70,720,833.20/9,417.84
  6. Step 6: Final answer
    x = 7,509.24

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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.