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Finding the Fourth Proportional to 9,708.66, 14,560.16 and 5,547.89

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Solution

The fourth proportional to 9,708.66, 14,560.16 and 5,547.89 is: 8,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.66 : 14,560.16 = 5,547.89 : x
  2. Step 2: Convert to fraction form
    9,708.66/14,560.16 = 5,547.89/x
  3. Step 3: Cross multiply
    9,708.66x = 14,560.16 × 5,547.89
  4. Step 4: Simplify right side
    9,708.66x = 80,778,174.72
  5. Step 5: Solve for x
    x = 80,778,174.72/9,708.66
  6. Step 6: Final answer
    x = 8,320.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.