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Finding the Fourth Proportional to 9,100.30, 13,644.84 and 3,547.18

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Solution

The fourth proportional to 9,100.30, 13,644.84 and 3,547.18 is: 5,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.30 : 13,644.84 = 3,547.18 : x
  2. Step 2: Convert to fraction form
    9,100.30/13,644.84 = 3,547.18/x
  3. Step 3: Cross multiply
    9,100.30x = 13,644.84 × 3,547.18
  4. Step 4: Simplify right side
    9,100.30x = 48,400,703.55
  5. Step 5: Solve for x
    x = 48,400,703.55/9,100.30
  6. Step 6: Final answer
    x = 5,318.58

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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.