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Finding the Fourth Proportional to 9,713.61, 14,556.51 and 4,165.47

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Solution

The fourth proportional to 9,713.61, 14,556.51 and 4,165.47 is: 6,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.61 : 14,556.51 = 4,165.47 : x
  2. Step 2: Convert to fraction form
    9,713.61/14,556.51 = 4,165.47/x
  3. Step 3: Cross multiply
    9,713.61x = 14,556.51 × 4,165.47
  4. Step 4: Simplify right side
    9,713.61x = 60,634,705.71
  5. Step 5: Solve for x
    x = 60,634,705.71/9,713.61
  6. Step 6: Final answer
    x = 6,242.24

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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.