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Finding the Fourth Proportional to 7,143.12, 9,860.24 and 4,784.40

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Solution

The fourth proportional to 7,143.12, 9,860.24 and 4,784.40 is: 6,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.12 : 9,860.24 = 4,784.40 : x
  2. Step 2: Convert to fraction form
    7,143.12/9,860.24 = 4,784.40/x
  3. Step 3: Cross multiply
    7,143.12x = 9,860.24 × 4,784.40
  4. Step 4: Simplify right side
    7,143.12x = 47,175,332.26
  5. Step 5: Solve for x
    x = 47,175,332.26/7,143.12
  6. Step 6: Final answer
    x = 6,604.30

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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.