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Finding the Fourth Proportional to 7,152.17, 9,864.58 and 6,266.44

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Solution

The fourth proportional to 7,152.17, 9,864.58 and 6,266.44 is: 8,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.17 : 9,864.58 = 6,266.44 : x
  2. Step 2: Convert to fraction form
    7,152.17/9,864.58 = 6,266.44/x
  3. Step 3: Cross multiply
    7,152.17x = 9,864.58 × 6,266.44
  4. Step 4: Simplify right side
    7,152.17x = 61,815,798.70
  5. Step 5: Solve for x
    x = 61,815,798.70/7,152.17
  6. Step 6: Final answer
    x = 8,642.94

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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.