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Finding the Fourth Proportional to 7,064.48, 9,743.14 and 5,368.61

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Solution

The fourth proportional to 7,064.48, 9,743.14 and 5,368.61 is: 7,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.48 : 9,743.14 = 5,368.61 : x
  2. Step 2: Convert to fraction form
    7,064.48/9,743.14 = 5,368.61/x
  3. Step 3: Cross multiply
    7,064.48x = 9,743.14 × 5,368.61
  4. Step 4: Simplify right side
    7,064.48x = 52,307,118.84
  5. Step 5: Solve for x
    x = 52,307,118.84/7,064.48
  6. Step 6: Final answer
    x = 7,404.24

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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.