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Finding the Fourth Proportional to 9,210.69, 12,710.25 and 5,434.02

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Solution

The fourth proportional to 9,210.69, 12,710.25 and 5,434.02 is: 7,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.69 : 12,710.25 = 5,434.02 : x
  2. Step 2: Convert to fraction form
    9,210.69/12,710.25 = 5,434.02/x
  3. Step 3: Cross multiply
    9,210.69x = 12,710.25 × 5,434.02
  4. Step 4: Simplify right side
    9,210.69x = 69,067,752.71
  5. Step 5: Solve for x
    x = 69,067,752.71/9,210.69
  6. Step 6: Final answer
    x = 7,498.65

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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.