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Finding the Fourth Proportional to 9,985.68, 13,780.80 and 5,510.40

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Solution

The fourth proportional to 9,985.68, 13,780.80 and 5,510.40 is: 7,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.68 : 13,780.80 = 5,510.40 : x
  2. Step 2: Convert to fraction form
    9,985.68/13,780.80 = 5,510.40/x
  3. Step 3: Cross multiply
    9,985.68x = 13,780.80 × 5,510.40
  4. Step 4: Simplify right side
    9,985.68x = 75,937,720.32
  5. Step 5: Solve for x
    x = 75,937,720.32/9,985.68
  6. Step 6: Final answer
    x = 7,604.66

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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.