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Finding the Fourth Proportional to 9,105.76, 13,652.16 and 4,356.46

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Solution

The fourth proportional to 9,105.76, 13,652.16 and 4,356.46 is: 6,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.76 : 13,652.16 = 4,356.46 : x
  2. Step 2: Convert to fraction form
    9,105.76/13,652.16 = 4,356.46/x
  3. Step 3: Cross multiply
    9,105.76x = 13,652.16 × 4,356.46
  4. Step 4: Simplify right side
    9,105.76x = 59,475,088.95
  5. Step 5: Solve for x
    x = 59,475,088.95/9,105.76
  6. Step 6: Final answer
    x = 6,531.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.