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Finding the Fourth Proportional to 9,597.96, 13,248.90 and 7,502.76

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Solution

The fourth proportional to 9,597.96, 13,248.90 and 7,502.76 is: 10,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 13,248.90 = 7,502.76 : x
  2. Step 2: Convert to fraction form
    9,597.96/13,248.90 = 7,502.76/x
  3. Step 3: Cross multiply
    9,597.96x = 13,248.90 × 7,502.76
  4. Step 4: Simplify right side
    9,597.96x = 99,403,316.96
  5. Step 5: Solve for x
    x = 99,403,316.96/9,597.96
  6. Step 6: Final answer
    x = 10,356.71

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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.