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Finding the Fourth Proportional to 9,904.32, 13,671 and 5,715.36

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Solution

The fourth proportional to 9,904.32, 13,671 and 5,715.36 is: 7,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.32 : 13,671 = 5,715.36 : x
  2. Step 2: Convert to fraction form
    9,904.32/13,671 = 5,715.36/x
  3. Step 3: Cross multiply
    9,904.32x = 13,671 × 5,715.36
  4. Step 4: Simplify right side
    9,904.32x = 78,134,686.56
  5. Step 5: Solve for x
    x = 78,134,686.56/9,904.32
  6. Step 6: Final answer
    x = 7,888.95

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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.