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Finding the Fourth Proportional to 6,488.18, 9,734.32 and 2,328.08

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Solution

The fourth proportional to 6,488.18, 9,734.32 and 2,328.08 is: 3,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.18 : 9,734.32 = 2,328.08 : x
  2. Step 2: Convert to fraction form
    6,488.18/9,734.32 = 2,328.08/x
  3. Step 3: Cross multiply
    6,488.18x = 9,734.32 × 2,328.08
  4. Step 4: Simplify right side
    6,488.18x = 22,662,275.71
  5. Step 5: Solve for x
    x = 22,662,275.71/6,488.18
  6. Step 6: Final answer
    x = 3,492.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.