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Finding the Fourth Proportional to 6,526.33, 9,013.82 and 4,298.17

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Solution

The fourth proportional to 6,526.33, 9,013.82 and 4,298.17 is: 5,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.33 : 9,013.82 = 4,298.17 : x
  2. Step 2: Convert to fraction form
    6,526.33/9,013.82 = 4,298.17/x
  3. Step 3: Cross multiply
    6,526.33x = 9,013.82 × 4,298.17
  4. Step 4: Simplify right side
    6,526.33x = 38,742,930.71
  5. Step 5: Solve for x
    x = 38,742,930.71/6,526.33
  6. Step 6: Final answer
    x = 5,936.40

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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.