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Finding the Fourth Proportional to 7,156.42, 9,870.87 and 6,915.58

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Solution

The fourth proportional to 7,156.42, 9,870.87 and 6,915.58 is: 9,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.42 : 9,870.87 = 6,915.58 : x
  2. Step 2: Convert to fraction form
    7,156.42/9,870.87 = 6,915.58/x
  3. Step 3: Cross multiply
    7,156.42x = 9,870.87 × 6,915.58
  4. Step 4: Simplify right side
    7,156.42x = 68,262,791.15
  5. Step 5: Solve for x
    x = 68,262,791.15/7,156.42
  6. Step 6: Final answer
    x = 9,538.68

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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.