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Finding the Fourth Proportional to 8,895.40, 12,275.22 and 5,746.12

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Solution

The fourth proportional to 8,895.40, 12,275.22 and 5,746.12 is: 7,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.40 : 12,275.22 = 5,746.12 : x
  2. Step 2: Convert to fraction form
    8,895.40/12,275.22 = 5,746.12/x
  3. Step 3: Cross multiply
    8,895.40x = 12,275.22 × 5,746.12
  4. Step 4: Simplify right side
    8,895.40x = 70,534,887.15
  5. Step 5: Solve for x
    x = 70,534,887.15/8,895.40
  6. Step 6: Final answer
    x = 7,929.37

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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.