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Finding the Fourth Proportional to 8,900.42, 12,281.02 and 6,742.58

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Solution

The fourth proportional to 8,900.42, 12,281.02 and 6,742.58 is: 9,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.42 : 12,281.02 = 6,742.58 : x
  2. Step 2: Convert to fraction form
    8,900.42/12,281.02 = 6,742.58/x
  3. Step 3: Cross multiply
    8,900.42x = 12,281.02 × 6,742.58
  4. Step 4: Simplify right side
    8,900.42x = 82,805,681.57
  5. Step 5: Solve for x
    x = 82,805,681.57/8,900.42
  6. Step 6: Final answer
    x = 9,303.58

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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.