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Finding the Fourth Proportional to 9,103.76, 12,565.16 and 5,378.32

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Solution

The fourth proportional to 9,103.76, 12,565.16 and 5,378.32 is: 7,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.76 : 12,565.16 = 5,378.32 : x
  2. Step 2: Convert to fraction form
    9,103.76/12,565.16 = 5,378.32/x
  3. Step 3: Cross multiply
    9,103.76x = 12,565.16 × 5,378.32
  4. Step 4: Simplify right side
    9,103.76x = 67,579,451.33
  5. Step 5: Solve for x
    x = 67,579,451.33/9,103.76
  6. Step 6: Final answer
    x = 7,423.25

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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.