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Finding the Fourth Proportional to 9,064.32, 12,508.90 and 5,085.20

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Solution

The fourth proportional to 9,064.32, 12,508.90 and 5,085.20 is: 7,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.32 : 12,508.90 = 5,085.20 : x
  2. Step 2: Convert to fraction form
    9,064.32/12,508.90 = 5,085.20/x
  3. Step 3: Cross multiply
    9,064.32x = 12,508.90 × 5,085.20
  4. Step 4: Simplify right side
    9,064.32x = 63,610,258.28
  5. Step 5: Solve for x
    x = 63,610,258.28/9,064.32
  6. Step 6: Final answer
    x = 7,017.65

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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.