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Finding the Fourth Proportional to 9,088.65, 12,542.34 and 5,109.76

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Solution

The fourth proportional to 9,088.65, 12,542.34 and 5,109.76 is: 7,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.65 : 12,542.34 = 5,109.76 : x
  2. Step 2: Convert to fraction form
    9,088.65/12,542.34 = 5,109.76/x
  3. Step 3: Cross multiply
    9,088.65x = 12,542.34 × 5,109.76
  4. Step 4: Simplify right side
    9,088.65x = 64,088,378.04
  5. Step 5: Solve for x
    x = 64,088,378.04/9,088.65
  6. Step 6: Final answer
    x = 7,051.47

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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.