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Finding the Fourth Proportional to 6,320.95, 8,717.66 and 4,746.31

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Solution

The fourth proportional to 6,320.95, 8,717.66 and 4,746.31 is: 6,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.95 : 8,717.66 = 4,746.31 : x
  2. Step 2: Convert to fraction form
    6,320.95/8,717.66 = 4,746.31/x
  3. Step 3: Cross multiply
    6,320.95x = 8,717.66 × 4,746.31
  4. Step 4: Simplify right side
    6,320.95x = 41,376,689.11
  5. Step 5: Solve for x
    x = 41,376,689.11/6,320.95
  6. Step 6: Final answer
    x = 6,545.96

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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.