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Finding the Fourth Proportional to 9,513.86, 13,124.66 and 6,328.71

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Solution

The fourth proportional to 9,513.86, 13,124.66 and 6,328.71 is: 8,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.86 : 13,124.66 = 6,328.71 : x
  2. Step 2: Convert to fraction form
    9,513.86/13,124.66 = 6,328.71/x
  3. Step 3: Cross multiply
    9,513.86x = 13,124.66 × 6,328.71
  4. Step 4: Simplify right side
    9,513.86x = 83,062,135.35
  5. Step 5: Solve for x
    x = 83,062,135.35/9,513.86
  6. Step 6: Final answer
    x = 8,730.65

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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.