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Finding the Fourth Proportional to 9,054, 13,585.12 and 5,363.52

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Solution

The fourth proportional to 9,054, 13,585.12 and 5,363.52 is: 8,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,585.12 = 5,363.52 : x
  2. Step 2: Convert to fraction form
    9,054/13,585.12 = 5,363.52/x
  3. Step 3: Cross multiply
    9,054x = 13,585.12 × 5,363.52
  4. Step 4: Simplify right side
    9,054x = 72,864,062.82
  5. Step 5: Solve for x
    x = 72,864,062.82/9,054
  6. Step 6: Final answer
    x = 8,047.72

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Why These Related Problems?

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