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Finding the Fourth Proportional to 9,569.16, 14,354.57 and 2,643.66

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Solution

The fourth proportional to 9,569.16, 14,354.57 and 2,643.66 is: 3,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.16 : 14,354.57 = 2,643.66 : x
  2. Step 2: Convert to fraction form
    9,569.16/14,354.57 = 2,643.66/x
  3. Step 3: Cross multiply
    9,569.16x = 14,354.57 × 2,643.66
  4. Step 4: Simplify right side
    9,569.16x = 37,948,602.53
  5. Step 5: Solve for x
    x = 37,948,602.53/9,569.16
  6. Step 6: Final answer
    x = 3,965.72

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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.