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Finding the Fourth Proportional to 9,801.86, 13,521.39 and 6,210.48

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Solution

The fourth proportional to 9,801.86, 13,521.39 and 6,210.48 is: 8,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.86 : 13,521.39 = 6,210.48 : x
  2. Step 2: Convert to fraction form
    9,801.86/13,521.39 = 6,210.48/x
  3. Step 3: Cross multiply
    9,801.86x = 13,521.39 × 6,210.48
  4. Step 4: Simplify right side
    9,801.86x = 83,974,322.17
  5. Step 5: Solve for x
    x = 83,974,322.17/9,801.86
  6. Step 6: Final answer
    x = 8,567.18

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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.