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Finding the Fourth Proportional to 9,603.96, 13,248.76 and 6,418.04

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Solution

The fourth proportional to 9,603.96, 13,248.76 and 6,418.04 is: 8,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.96 : 13,248.76 = 6,418.04 : x
  2. Step 2: Convert to fraction form
    9,603.96/13,248.76 = 6,418.04/x
  3. Step 3: Cross multiply
    9,603.96x = 13,248.76 × 6,418.04
  4. Step 4: Simplify right side
    9,603.96x = 85,031,088.71
  5. Step 5: Solve for x
    x = 85,031,088.71/9,603.96
  6. Step 6: Final answer
    x = 8,853.75

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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.