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Finding the Fourth Proportional to 9,587.68, 14,378.68 and 4,319.64

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Solution

The fourth proportional to 9,587.68, 14,378.68 and 4,319.64 is: 6,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.68 : 14,378.68 = 4,319.64 : x
  2. Step 2: Convert to fraction form
    9,587.68/14,378.68 = 4,319.64/x
  3. Step 3: Cross multiply
    9,587.68x = 14,378.68 × 4,319.64
  4. Step 4: Simplify right side
    9,587.68x = 62,110,721.28
  5. Step 5: Solve for x
    x = 62,110,721.28/9,587.68
  6. Step 6: Final answer
    x = 6,478.18

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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.