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Finding the Fourth Proportional to 7,147.95, 9,864.15 and 4,123.06

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Solution

The fourth proportional to 7,147.95, 9,864.15 and 4,123.06 is: 5,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.95 : 9,864.15 = 4,123.06 : x
  2. Step 2: Convert to fraction form
    7,147.95/9,864.15 = 4,123.06/x
  3. Step 3: Cross multiply
    7,147.95x = 9,864.15 × 4,123.06
  4. Step 4: Simplify right side
    7,147.95x = 40,670,482.30
  5. Step 5: Solve for x
    x = 40,670,482.30/7,147.95
  6. Step 6: Final answer
    x = 5,689.81

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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.