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Finding the Fourth Proportional to 7,061.86, 9,741.13 and 4,671.89

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Solution

The fourth proportional to 7,061.86, 9,741.13 and 4,671.89 is: 6,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.86 : 9,741.13 = 4,671.89 : x
  2. Step 2: Convert to fraction form
    7,061.86/9,741.13 = 4,671.89/x
  3. Step 3: Cross multiply
    7,061.86x = 9,741.13 × 4,671.89
  4. Step 4: Simplify right side
    7,061.86x = 45,509,487.84
  5. Step 5: Solve for x
    x = 45,509,487.84/7,061.86
  6. Step 6: Final answer
    x = 6,444.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.