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Finding the Fourth Proportional to 9,780.51, 13,499.04 and 5,531.58

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Solution

The fourth proportional to 9,780.51, 13,499.04 and 5,531.58 is: 7,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.51 : 13,499.04 = 5,531.58 : x
  2. Step 2: Convert to fraction form
    9,780.51/13,499.04 = 5,531.58/x
  3. Step 3: Cross multiply
    9,780.51x = 13,499.04 × 5,531.58
  4. Step 4: Simplify right side
    9,780.51x = 74,671,019.68
  5. Step 5: Solve for x
    x = 74,671,019.68/9,780.51
  6. Step 6: Final answer
    x = 7,634.68

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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.