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Finding the Fourth Proportional to 9,281.46, 12,810.24 and 5,302.20

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Solution

The fourth proportional to 9,281.46, 12,810.24 and 5,302.20 is: 7,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.46 : 12,810.24 = 5,302.20 : x
  2. Step 2: Convert to fraction form
    9,281.46/12,810.24 = 5,302.20/x
  3. Step 3: Cross multiply
    9,281.46x = 12,810.24 × 5,302.20
  4. Step 4: Simplify right side
    9,281.46x = 67,922,454.53
  5. Step 5: Solve for x
    x = 67,922,454.53/9,281.46
  6. Step 6: Final answer
    x = 7,318.08

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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.