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Finding the Fourth Proportional to 9,430.32, 13,010.04 and 5,697.84

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Solution

The fourth proportional to 9,430.32, 13,010.04 and 5,697.84 is: 7,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.32 : 13,010.04 = 5,697.84 : x
  2. Step 2: Convert to fraction form
    9,430.32/13,010.04 = 5,697.84/x
  3. Step 3: Cross multiply
    9,430.32x = 13,010.04 × 5,697.84
  4. Step 4: Simplify right side
    9,430.32x = 74,129,126.31
  5. Step 5: Solve for x
    x = 74,129,126.31/9,430.32
  6. Step 6: Final answer
    x = 7,860.72

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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.