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Finding the Fourth Proportional to 7,113.15, 9,817.02 and 4,282

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Solution

The fourth proportional to 7,113.15, 9,817.02 and 4,282 is: 5,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.15 : 9,817.02 = 4,282 : x
  2. Step 2: Convert to fraction form
    7,113.15/9,817.02 = 4,282/x
  3. Step 3: Cross multiply
    7,113.15x = 9,817.02 × 4,282
  4. Step 4: Simplify right side
    7,113.15x = 42,036,479.64
  5. Step 5: Solve for x
    x = 42,036,479.64/7,113.15
  6. Step 6: Final answer
    x = 5,909.69

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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.