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Finding the Fourth Proportional to 9,888.16, 13,646.58 and 5,909.19

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Solution

The fourth proportional to 9,888.16, 13,646.58 and 5,909.19 is: 8,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.16 : 13,646.58 = 5,909.19 : x
  2. Step 2: Convert to fraction form
    9,888.16/13,646.58 = 5,909.19/x
  3. Step 3: Cross multiply
    9,888.16x = 13,646.58 × 5,909.19
  4. Step 4: Simplify right side
    9,888.16x = 80,640,160.74
  5. Step 5: Solve for x
    x = 80,640,160.74/9,888.16
  6. Step 6: Final answer
    x = 8,155.22

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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.