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Finding the Fourth Proportional to 9,319.32, 12,860.74 and 5,070.47

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Solution

The fourth proportional to 9,319.32, 12,860.74 and 5,070.47 is: 6,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.32 : 12,860.74 = 5,070.47 : x
  2. Step 2: Convert to fraction form
    9,319.32/12,860.74 = 5,070.47/x
  3. Step 3: Cross multiply
    9,319.32x = 12,860.74 × 5,070.47
  4. Step 4: Simplify right side
    9,319.32x = 65,209,938.38
  5. Step 5: Solve for x
    x = 65,209,938.38/9,319.32
  6. Step 6: Final answer
    x = 6,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.