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Finding the Fourth Proportional to 9,146.17, 12,610.24 and 7,465.87

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Solution

The fourth proportional to 9,146.17, 12,610.24 and 7,465.87 is: 10,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.17 : 12,610.24 = 7,465.87 : x
  2. Step 2: Convert to fraction form
    9,146.17/12,610.24 = 7,465.87/x
  3. Step 3: Cross multiply
    9,146.17x = 12,610.24 × 7,465.87
  4. Step 4: Simplify right side
    9,146.17x = 94,146,412.51
  5. Step 5: Solve for x
    x = 94,146,412.51/9,146.17
  6. Step 6: Final answer
    x = 10,293.53

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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.