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Finding the Fourth Proportional to 7,117.68, 9,814.41 and 4,596.48

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Solution

The fourth proportional to 7,117.68, 9,814.41 and 4,596.48 is: 6,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.68 : 9,814.41 = 4,596.48 : x
  2. Step 2: Convert to fraction form
    7,117.68/9,814.41 = 4,596.48/x
  3. Step 3: Cross multiply
    7,117.68x = 9,814.41 × 4,596.48
  4. Step 4: Simplify right side
    7,117.68x = 45,111,739.28
  5. Step 5: Solve for x
    x = 45,111,739.28/7,117.68
  6. Step 6: Final answer
    x = 6,337.98

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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.