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Finding the Fourth Proportional to 9,652.77, 14,478.35 and 6,552.70

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Solution

The fourth proportional to 9,652.77, 14,478.35 and 6,552.70 is: 9,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.77 : 14,478.35 = 6,552.70 : x
  2. Step 2: Convert to fraction form
    9,652.77/14,478.35 = 6,552.70/x
  3. Step 3: Cross multiply
    9,652.77x = 14,478.35 × 6,552.70
  4. Step 4: Simplify right side
    9,652.77x = 94,872,215.09
  5. Step 5: Solve for x
    x = 94,872,215.09/9,652.77
  6. Step 6: Final answer
    x = 9,828.50

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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.