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Finding the Fourth Proportional to 9,065.19, 12,509.13 and 5,288.69

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Solution

The fourth proportional to 9,065.19, 12,509.13 and 5,288.69 is: 7,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.19 : 12,509.13 = 5,288.69 : x
  2. Step 2: Convert to fraction form
    9,065.19/12,509.13 = 5,288.69/x
  3. Step 3: Cross multiply
    9,065.19x = 12,509.13 × 5,288.69
  4. Step 4: Simplify right side
    9,065.19x = 66,156,848.19
  5. Step 5: Solve for x
    x = 66,156,848.19/9,065.19
  6. Step 6: Final answer
    x = 7,297.90

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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.