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Finding the Fourth Proportional to 7,146.59, 9,862.43 and 4,002.77

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Solution

The fourth proportional to 7,146.59, 9,862.43 and 4,002.77 is: 5,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.59 : 9,862.43 = 4,002.77 : x
  2. Step 2: Convert to fraction form
    7,146.59/9,862.43 = 4,002.77/x
  3. Step 3: Cross multiply
    7,146.59x = 9,862.43 × 4,002.77
  4. Step 4: Simplify right side
    7,146.59x = 39,477,038.93
  5. Step 5: Solve for x
    x = 39,477,038.93/7,146.59
  6. Step 6: Final answer
    x = 5,523.90

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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.