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Finding the Fourth Proportional to 9,597.50, 13,248.99 and 6,767.18

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Solution

The fourth proportional to 9,597.50, 13,248.99 and 6,767.18 is: 9,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.50 : 13,248.99 = 6,767.18 : x
  2. Step 2: Convert to fraction form
    9,597.50/13,248.99 = 6,767.18/x
  3. Step 3: Cross multiply
    9,597.50x = 13,248.99 × 6,767.18
  4. Step 4: Simplify right side
    9,597.50x = 89,658,300.15
  5. Step 5: Solve for x
    x = 89,658,300.15/9,597.50
  6. Step 6: Final answer
    x = 9,341.84

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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.