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Finding the Fourth Proportional to 9,091.98, 13,642.07 and 4,411.10

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Solution

The fourth proportional to 9,091.98, 13,642.07 and 4,411.10 is: 6,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.98 : 13,642.07 = 4,411.10 : x
  2. Step 2: Convert to fraction form
    9,091.98/13,642.07 = 4,411.10/x
  3. Step 3: Cross multiply
    9,091.98x = 13,642.07 × 4,411.10
  4. Step 4: Simplify right side
    9,091.98x = 60,176,547.03
  5. Step 5: Solve for x
    x = 60,176,547.03/9,091.98
  6. Step 6: Final answer
    x = 6,618.64

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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.