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Finding the Fourth Proportional to 9,301.08, 12,838.86 and 6,158.28

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Solution

The fourth proportional to 9,301.08, 12,838.86 and 6,158.28 is: 8,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.08 : 12,838.86 = 6,158.28 : x
  2. Step 2: Convert to fraction form
    9,301.08/12,838.86 = 6,158.28/x
  3. Step 3: Cross multiply
    9,301.08x = 12,838.86 × 6,158.28
  4. Step 4: Simplify right side
    9,301.08x = 79,065,294.76
  5. Step 5: Solve for x
    x = 79,065,294.76/9,301.08
  6. Step 6: Final answer
    x = 8,500.66

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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.