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Finding the Fourth Proportional to 9,708.42, 14,552.53 and 6,588.68

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Solution

The fourth proportional to 9,708.42, 14,552.53 and 6,588.68 is: 9,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.42 : 14,552.53 = 6,588.68 : x
  2. Step 2: Convert to fraction form
    9,708.42/14,552.53 = 6,588.68/x
  3. Step 3: Cross multiply
    9,708.42x = 14,552.53 × 6,588.68
  4. Step 4: Simplify right side
    9,708.42x = 95,881,963.36
  5. Step 5: Solve for x
    x = 95,881,963.36/9,708.42
  6. Step 6: Final answer
    x = 9,876.17

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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.