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Finding the Fourth Proportional to 6,397.83, 9,559.65 and 5,007.87

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Solution

The fourth proportional to 6,397.83, 9,559.65 and 5,007.87 is: 7,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.83 : 9,559.65 = 5,007.87 : x
  2. Step 2: Convert to fraction form
    6,397.83/9,559.65 = 5,007.87/x
  3. Step 3: Cross multiply
    6,397.83x = 9,559.65 × 5,007.87
  4. Step 4: Simplify right side
    6,397.83x = 47,873,484.45
  5. Step 5: Solve for x
    x = 47,873,484.45/6,397.83
  6. Step 6: Final answer
    x = 7,482.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.