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Finding the Fourth Proportional to 6,531.84, 9,011.48 and 4,294.89

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Solution

The fourth proportional to 6,531.84, 9,011.48 and 4,294.89 is: 5,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.84 : 9,011.48 = 4,294.89 : x
  2. Step 2: Convert to fraction form
    6,531.84/9,011.48 = 4,294.89/x
  3. Step 3: Cross multiply
    6,531.84x = 9,011.48 × 4,294.89
  4. Step 4: Simplify right side
    6,531.84x = 38,703,293.86
  5. Step 5: Solve for x
    x = 38,703,293.86/6,531.84
  6. Step 6: Final answer
    x = 5,925.33

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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.