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Finding the Fourth Proportional to 9,888.72, 14,816.70 and 6,952.68

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Solution

The fourth proportional to 9,888.72, 14,816.70 and 6,952.68 is: 10,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.72 : 14,816.70 = 6,952.68 : x
  2. Step 2: Convert to fraction form
    9,888.72/14,816.70 = 6,952.68/x
  3. Step 3: Cross multiply
    9,888.72x = 14,816.70 × 6,952.68
  4. Step 4: Simplify right side
    9,888.72x = 103,015,773.76
  5. Step 5: Solve for x
    x = 103,015,773.76/9,888.72
  6. Step 6: Final answer
    x = 10,417.50

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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.