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Finding the Fourth Proportional to 9,780.65, 13,497.05 and 5,588.63

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Solution

The fourth proportional to 9,780.65, 13,497.05 and 5,588.63 is: 7,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.65 : 13,497.05 = 5,588.63 : x
  2. Step 2: Convert to fraction form
    9,780.65/13,497.05 = 5,588.63/x
  3. Step 3: Cross multiply
    9,780.65x = 13,497.05 × 5,588.63
  4. Step 4: Simplify right side
    9,780.65x = 75,429,951.06
  5. Step 5: Solve for x
    x = 75,429,951.06/9,780.65
  6. Step 6: Final answer
    x = 7,712.17

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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.