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Finding the Fourth Proportional to 7,129.95, 9,840.17 and 4,145.77

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Solution

The fourth proportional to 7,129.95, 9,840.17 and 4,145.77 is: 5,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.95 : 9,840.17 = 4,145.77 : x
  2. Step 2: Convert to fraction form
    7,129.95/9,840.17 = 4,145.77/x
  3. Step 3: Cross multiply
    7,129.95x = 9,840.17 × 4,145.77
  4. Step 4: Simplify right side
    7,129.95x = 40,795,084.58
  5. Step 5: Solve for x
    x = 40,795,084.58/7,129.95
  6. Step 6: Final answer
    x = 5,721.65

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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.