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Finding the Fourth Proportional to 28,506.38, 42,765.88 and 9,786

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Solution

The fourth proportional to 28,506.38, 42,765.88 and 9,786 is: 14,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,506.38 : 42,765.88 = 9,786 : x
  2. Step 2: Convert to fraction form
    28,506.38/42,765.88 = 9,786/x
  3. Step 3: Cross multiply
    28,506.38x = 42,765.88 × 9,786
  4. Step 4: Simplify right side
    28,506.38x = 418,506,901.68
  5. Step 5: Solve for x
    x = 418,506,901.68/28,506.38
  6. Step 6: Final answer
    x = 14,681.17

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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.