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Finding the Fourth Proportional to 9,134.16, 12,597.84 and 6,148.08

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Solution

The fourth proportional to 9,134.16, 12,597.84 and 6,148.08 is: 8,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.16 : 12,597.84 = 6,148.08 : x
  2. Step 2: Convert to fraction form
    9,134.16/12,597.84 = 6,148.08/x
  3. Step 3: Cross multiply
    9,134.16x = 12,597.84 × 6,148.08
  4. Step 4: Simplify right side
    9,134.16x = 77,452,528.15
  5. Step 5: Solve for x
    x = 77,452,528.15/9,134.16
  6. Step 6: Final answer
    x = 8,479.44

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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.