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Finding the Fourth Proportional to 6,948.32, 9,585.84 and 4,153.76

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Solution

The fourth proportional to 6,948.32, 9,585.84 and 4,153.76 is: 5,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.32 : 9,585.84 = 4,153.76 : x
  2. Step 2: Convert to fraction form
    6,948.32/9,585.84 = 4,153.76/x
  3. Step 3: Cross multiply
    6,948.32x = 9,585.84 × 4,153.76
  4. Step 4: Simplify right side
    6,948.32x = 39,817,278.76
  5. Step 5: Solve for x
    x = 39,817,278.76/6,948.32
  6. Step 6: Final answer
    x = 5,730.49

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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.