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Finding the Fourth Proportional to 7,064.72, 9,748.86 and 4,411.97

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Solution

The fourth proportional to 7,064.72, 9,748.86 and 4,411.97 is: 6,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.72 : 9,748.86 = 4,411.97 : x
  2. Step 2: Convert to fraction form
    7,064.72/9,748.86 = 4,411.97/x
  3. Step 3: Cross multiply
    7,064.72x = 9,748.86 × 4,411.97
  4. Step 4: Simplify right side
    7,064.72x = 43,011,677.85
  5. Step 5: Solve for x
    x = 43,011,677.85/7,064.72
  6. Step 6: Final answer
    x = 6,088.24

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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.