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Finding the Fourth Proportional to 9,065.98, 12,510.86 and 5,032.57

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Solution

The fourth proportional to 9,065.98, 12,510.86 and 5,032.57 is: 6,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.98 : 12,510.86 = 5,032.57 : x
  2. Step 2: Convert to fraction form
    9,065.98/12,510.86 = 5,032.57/x
  3. Step 3: Cross multiply
    9,065.98x = 12,510.86 × 5,032.57
  4. Step 4: Simplify right side
    9,065.98x = 62,961,778.71
  5. Step 5: Solve for x
    x = 62,961,778.71/9,065.98
  6. Step 6: Final answer
    x = 6,944.84

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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.