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Finding the Fourth Proportional to 28,257.32, 42,377.16 and 9,785

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Solution

The fourth proportional to 28,257.32, 42,377.16 and 9,785 is: 14,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.32 : 42,377.16 = 9,785 : x
  2. Step 2: Convert to fraction form
    28,257.32/42,377.16 = 9,785/x
  3. Step 3: Cross multiply
    28,257.32x = 42,377.16 × 9,785
  4. Step 4: Simplify right side
    28,257.32x = 414,660,510.60
  5. Step 5: Solve for x
    x = 414,660,510.60/28,257.32
  6. Step 6: Final answer
    x = 14,674.45

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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.