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Finding the Fourth Proportional to 7,154.02, 9,870.94 and 4,321.86

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Solution

The fourth proportional to 7,154.02, 9,870.94 and 4,321.86 is: 5,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.02 : 9,870.94 = 4,321.86 : x
  2. Step 2: Convert to fraction form
    7,154.02/9,870.94 = 4,321.86/x
  3. Step 3: Cross multiply
    7,154.02x = 9,870.94 × 4,321.86
  4. Step 4: Simplify right side
    7,154.02x = 42,660,820.75
  5. Step 5: Solve for x
    x = 42,660,820.75/7,154.02
  6. Step 6: Final answer
    x = 5,963.20

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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.