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Finding the Fourth Proportional to 9,202.48, 12,685.08 and 7,707.76

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Solution

The fourth proportional to 9,202.48, 12,685.08 and 7,707.76 is: 10,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.48 : 12,685.08 = 7,707.76 : x
  2. Step 2: Convert to fraction form
    9,202.48/12,685.08 = 7,707.76/x
  3. Step 3: Cross multiply
    9,202.48x = 12,685.08 × 7,707.76
  4. Step 4: Simplify right side
    9,202.48x = 97,773,552.22
  5. Step 5: Solve for x
    x = 97,773,552.22/9,202.48
  6. Step 6: Final answer
    x = 10,624.70

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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.