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Finding the Fourth Proportional to 9,697.47, 14,517.50 and 5,987.77

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Solution

The fourth proportional to 9,697.47, 14,517.50 and 5,987.77 is: 8,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.47 : 14,517.50 = 5,987.77 : x
  2. Step 2: Convert to fraction form
    9,697.47/14,517.50 = 5,987.77/x
  3. Step 3: Cross multiply
    9,697.47x = 14,517.50 × 5,987.77
  4. Step 4: Simplify right side
    9,697.47x = 86,927,384.74
  5. Step 5: Solve for x
    x = 86,927,384.74/9,697.47
  6. Step 6: Final answer
    x = 8,963.93

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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.