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Finding the Fourth Proportional to 9,248.47, 13,874.77 and 4,315.42

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Solution

The fourth proportional to 9,248.47, 13,874.77 and 4,315.42 is: 6,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.47 : 13,874.77 = 4,315.42 : x
  2. Step 2: Convert to fraction form
    9,248.47/13,874.77 = 4,315.42/x
  3. Step 3: Cross multiply
    9,248.47x = 13,874.77 × 4,315.42
  4. Step 4: Simplify right side
    9,248.47x = 59,875,461.78
  5. Step 5: Solve for x
    x = 59,875,461.78/9,248.47
  6. Step 6: Final answer
    x = 6,474.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.