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Finding the Fourth Proportional to 6,937.68, 9,574.92 and 4,460.88

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Solution

The fourth proportional to 6,937.68, 9,574.92 and 4,460.88 is: 6,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.68 : 9,574.92 = 4,460.88 : x
  2. Step 2: Convert to fraction form
    6,937.68/9,574.92 = 4,460.88/x
  3. Step 3: Cross multiply
    6,937.68x = 9,574.92 × 4,460.88
  4. Step 4: Simplify right side
    6,937.68x = 42,712,569.13
  5. Step 5: Solve for x
    x = 42,712,569.13/6,937.68
  6. Step 6: Final answer
    x = 6,156.61

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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.