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Finding the Fourth Proportional to 7,156.24, 9,876 and 4,323.59

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Solution

The fourth proportional to 7,156.24, 9,876 and 4,323.59 is: 5,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.24 : 9,876 = 4,323.59 : x
  2. Step 2: Convert to fraction form
    7,156.24/9,876 = 4,323.59/x
  3. Step 3: Cross multiply
    7,156.24x = 9,876 × 4,323.59
  4. Step 4: Simplify right side
    7,156.24x = 42,699,725.46
  5. Step 5: Solve for x
    x = 42,699,725.46/7,156.24
  6. Step 6: Final answer
    x = 5,966.78

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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.