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Finding the Fourth Proportional to 9,109.59, 12,570.52 and 5,332.23

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Solution

The fourth proportional to 9,109.59, 12,570.52 and 5,332.23 is: 7,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.59 : 12,570.52 = 5,332.23 : x
  2. Step 2: Convert to fraction form
    9,109.59/12,570.52 = 5,332.23/x
  3. Step 3: Cross multiply
    9,109.59x = 12,570.52 × 5,332.23
  4. Step 4: Simplify right side
    9,109.59x = 67,028,903.86
  5. Step 5: Solve for x
    x = 67,028,903.86/9,109.59
  6. Step 6: Final answer
    x = 7,358.06

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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.