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Finding the Fourth Proportional to 9,534, 14,305.32 and 4,602.72

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Solution

The fourth proportional to 9,534, 14,305.32 and 4,602.72 is: 6,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 14,305.32 = 4,602.72 : x
  2. Step 2: Convert to fraction form
    9,534/14,305.32 = 4,602.72/x
  3. Step 3: Cross multiply
    9,534x = 14,305.32 × 4,602.72
  4. Step 4: Simplify right side
    9,534x = 65,843,382.47
  5. Step 5: Solve for x
    x = 65,843,382.47/9,534
  6. Step 6: Final answer
    x = 6,906.17

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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.