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Finding the Fourth Proportional to 9,064.16, 12,507.70 and 5,084.49

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Solution

The fourth proportional to 9,064.16, 12,507.70 and 5,084.49 is: 7,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.16 : 12,507.70 = 5,084.49 : x
  2. Step 2: Convert to fraction form
    9,064.16/12,507.70 = 5,084.49/x
  3. Step 3: Cross multiply
    9,064.16x = 12,507.70 × 5,084.49
  4. Step 4: Simplify right side
    9,064.16x = 63,595,275.57
  5. Step 5: Solve for x
    x = 63,595,275.57/9,064.16
  6. Step 6: Final answer
    x = 7,016.12

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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.