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Finding the Fourth Proportional to 9,810.34, 13,530.92 and 6,937.88

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Solution

The fourth proportional to 9,810.34, 13,530.92 and 6,937.88 is: 9,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.34 : 13,530.92 = 6,937.88 : x
  2. Step 2: Convert to fraction form
    9,810.34/13,530.92 = 6,937.88/x
  3. Step 3: Cross multiply
    9,810.34x = 13,530.92 × 6,937.88
  4. Step 4: Simplify right side
    9,810.34x = 93,875,796.91
  5. Step 5: Solve for x
    x = 93,875,796.91/9,810.34
  6. Step 6: Final answer
    x = 9,569.07

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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.