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Finding the Fourth Proportional to 9,106.71, 12,567.58 and 5,330.23

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Solution

The fourth proportional to 9,106.71, 12,567.58 and 5,330.23 is: 7,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.71 : 12,567.58 = 5,330.23 : x
  2. Step 2: Convert to fraction form
    9,106.71/12,567.58 = 5,330.23/x
  3. Step 3: Cross multiply
    9,106.71x = 12,567.58 × 5,330.23
  4. Step 4: Simplify right side
    9,106.71x = 66,988,065.29
  5. Step 5: Solve for x
    x = 66,988,065.29/9,106.71
  6. Step 6: Final answer
    x = 7,355.90

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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.