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Finding the Fourth Proportional to 8,926.75, 12,301.93 and 6,537.46

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Solution

The fourth proportional to 8,926.75, 12,301.93 and 6,537.46 is: 9,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.75 : 12,301.93 = 6,537.46 : x
  2. Step 2: Convert to fraction form
    8,926.75/12,301.93 = 6,537.46/x
  3. Step 3: Cross multiply
    8,926.75x = 12,301.93 × 6,537.46
  4. Step 4: Simplify right side
    8,926.75x = 80,423,281.10
  5. Step 5: Solve for x
    x = 80,423,281.10/8,926.75
  6. Step 6: Final answer
    x = 9,009.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.