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Finding the Fourth Proportional to 9,707.78, 14,557.98 and 3,132.98

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Solution

The fourth proportional to 9,707.78, 14,557.98 and 3,132.98 is: 4,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.78 : 14,557.98 = 3,132.98 : x
  2. Step 2: Convert to fraction form
    9,707.78/14,557.98 = 3,132.98/x
  3. Step 3: Cross multiply
    9,707.78x = 14,557.98 × 3,132.98
  4. Step 4: Simplify right side
    9,707.78x = 45,609,860.18
  5. Step 5: Solve for x
    x = 45,609,860.18/9,707.78
  6. Step 6: Final answer
    x = 4,698.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.