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Finding the Fourth Proportional to 9,208.80, 12,712.42 and 5,430.70

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Solution

The fourth proportional to 9,208.80, 12,712.42 and 5,430.70 is: 7,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.80 : 12,712.42 = 5,430.70 : x
  2. Step 2: Convert to fraction form
    9,208.80/12,712.42 = 5,430.70/x
  3. Step 3: Cross multiply
    9,208.80x = 12,712.42 × 5,430.70
  4. Step 4: Simplify right side
    9,208.80x = 69,037,339.29
  5. Step 5: Solve for x
    x = 69,037,339.29/9,208.80
  6. Step 6: Final answer
    x = 7,496.89

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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.