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Finding the Fourth Proportional to 9,637.68, 14,456.45 and 4,959

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Solution

The fourth proportional to 9,637.68, 14,456.45 and 4,959 is: 7,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.68 : 14,456.45 = 4,959 : x
  2. Step 2: Convert to fraction form
    9,637.68/14,456.45 = 4,959/x
  3. Step 3: Cross multiply
    9,637.68x = 14,456.45 × 4,959
  4. Step 4: Simplify right side
    9,637.68x = 71,689,510.76
  5. Step 5: Solve for x
    x = 71,689,510.76/9,637.68
  6. Step 6: Final answer
    x = 7,438.46

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