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Finding the Fourth Proportional to 9,094.32, 13,641.65 and 2,854.18

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Solution

The fourth proportional to 9,094.32, 13,641.65 and 2,854.18 is: 4,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.32 : 13,641.65 = 2,854.18 : x
  2. Step 2: Convert to fraction form
    9,094.32/13,641.65 = 2,854.18/x
  3. Step 3: Cross multiply
    9,094.32x = 13,641.65 × 2,854.18
  4. Step 4: Simplify right side
    9,094.32x = 38,935,738.08
  5. Step 5: Solve for x
    x = 38,935,738.08/9,094.32
  6. Step 6: Final answer
    x = 4,281.32

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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.