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Finding the Fourth Proportional to 6,931.13, 9,565.94 and 4,412.44

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Solution

The fourth proportional to 6,931.13, 9,565.94 and 4,412.44 is: 6,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.13 : 9,565.94 = 4,412.44 : x
  2. Step 2: Convert to fraction form
    6,931.13/9,565.94 = 4,412.44/x
  3. Step 3: Cross multiply
    6,931.13x = 9,565.94 × 4,412.44
  4. Step 4: Simplify right side
    6,931.13x = 42,209,066.40
  5. Step 5: Solve for x
    x = 42,209,066.40/6,931.13
  6. Step 6: Final answer
    x = 6,089.78

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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.