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Finding the Fourth Proportional to 9,203.48, 12,686.46 and 7,708.76

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Solution

The fourth proportional to 9,203.48, 12,686.46 and 7,708.76 is: 10,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.48 : 12,686.46 = 7,708.76 : x
  2. Step 2: Convert to fraction form
    9,203.48/12,686.46 = 7,708.76/x
  3. Step 3: Cross multiply
    9,203.48x = 12,686.46 × 7,708.76
  4. Step 4: Simplify right side
    9,203.48x = 97,796,875.39
  5. Step 5: Solve for x
    x = 97,796,875.39/9,203.48
  6. Step 6: Final answer
    x = 10,626.08

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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.