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Finding the Fourth Proportional to 9,062.64, 12,510.78 and 5,707.08

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Solution

The fourth proportional to 9,062.64, 12,510.78 and 5,707.08 is: 7,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.64 : 12,510.78 = 5,707.08 : x
  2. Step 2: Convert to fraction form
    9,062.64/12,510.78 = 5,707.08/x
  3. Step 3: Cross multiply
    9,062.64x = 12,510.78 × 5,707.08
  4. Step 4: Simplify right side
    9,062.64x = 71,400,022.32
  5. Step 5: Solve for x
    x = 71,400,022.32/9,062.64
  6. Step 6: Final answer
    x = 7,878.50

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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.