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Finding the Fourth Proportional to 9,430.76, 13,008.70 and 6,781.76

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Solution

The fourth proportional to 9,430.76, 13,008.70 and 6,781.76 is: 9,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.76 : 13,008.70 = 6,781.76 : x
  2. Step 2: Convert to fraction form
    9,430.76/13,008.70 = 6,781.76/x
  3. Step 3: Cross multiply
    9,430.76x = 13,008.70 × 6,781.76
  4. Step 4: Simplify right side
    9,430.76x = 88,221,881.31
  5. Step 5: Solve for x
    x = 88,221,881.31/9,430.76
  6. Step 6: Final answer
    x = 9,354.69

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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.