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Finding the Fourth Proportional to 7,149.48, 9,870.66 and 5,663.40

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Solution

The fourth proportional to 7,149.48, 9,870.66 and 5,663.40 is: 7,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.48 : 9,870.66 = 5,663.40 : x
  2. Step 2: Convert to fraction form
    7,149.48/9,870.66 = 5,663.40/x
  3. Step 3: Cross multiply
    7,149.48x = 9,870.66 × 5,663.40
  4. Step 4: Simplify right side
    7,149.48x = 55,901,495.84
  5. Step 5: Solve for x
    x = 55,901,495.84/7,149.48
  6. Step 6: Final answer
    x = 7,818.96

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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.