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Finding the Fourth Proportional to 9,746.34, 13,446.45 and 5,552.16

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Solution

The fourth proportional to 9,746.34, 13,446.45 and 5,552.16 is: 7,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.34 : 13,446.45 = 5,552.16 : x
  2. Step 2: Convert to fraction form
    9,746.34/13,446.45 = 5,552.16/x
  3. Step 3: Cross multiply
    9,746.34x = 13,446.45 × 5,552.16
  4. Step 4: Simplify right side
    9,746.34x = 74,656,841.83
  5. Step 5: Solve for x
    x = 74,656,841.83/9,746.34
  6. Step 6: Final answer
    x = 7,659.99

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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.