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Finding the Fourth Proportional to 9,106.81, 12,570.91 and 7,118.01

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Solution

The fourth proportional to 9,106.81, 12,570.91 and 7,118.01 is: 9,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.81 : 12,570.91 = 7,118.01 : x
  2. Step 2: Convert to fraction form
    9,106.81/12,570.91 = 7,118.01/x
  3. Step 3: Cross multiply
    9,106.81x = 12,570.91 × 7,118.01
  4. Step 4: Simplify right side
    9,106.81x = 89,479,845.29
  5. Step 5: Solve for x
    x = 89,479,845.29/9,106.81
  6. Step 6: Final answer
    x = 9,825.60

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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.