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Finding the Fourth Proportional to 9,543.79, 13,177 and 7,301.76

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Solution

The fourth proportional to 9,543.79, 13,177 and 7,301.76 is: 10,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.79 : 13,177 = 7,301.76 : x
  2. Step 2: Convert to fraction form
    9,543.79/13,177 = 7,301.76/x
  3. Step 3: Cross multiply
    9,543.79x = 13,177 × 7,301.76
  4. Step 4: Simplify right side
    9,543.79x = 96,215,225.64
  5. Step 5: Solve for x
    x = 96,215,225.64/9,543.79
  6. Step 6: Final answer
    x = 10,081.45

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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.