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Finding the Fourth Proportional to 9,192.72, 12,686.04 and 5,466

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Solution

The fourth proportional to 9,192.72, 12,686.04 and 5,466 is: 7,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.72 : 12,686.04 = 5,466 : x
  2. Step 2: Convert to fraction form
    9,192.72/12,686.04 = 5,466/x
  3. Step 3: Cross multiply
    9,192.72x = 12,686.04 × 5,466
  4. Step 4: Simplify right side
    9,192.72x = 69,341,894.64
  5. Step 5: Solve for x
    x = 69,341,894.64/9,192.72
  6. Step 6: Final answer
    x = 7,543.13

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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.