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Finding the Fourth Proportional to 9,898.14, 13,666.08 and 6,315.12

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Solution

The fourth proportional to 9,898.14, 13,666.08 and 6,315.12 is: 8,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.14 : 13,666.08 = 6,315.12 : x
  2. Step 2: Convert to fraction form
    9,898.14/13,666.08 = 6,315.12/x
  3. Step 3: Cross multiply
    9,898.14x = 13,666.08 × 6,315.12
  4. Step 4: Simplify right side
    9,898.14x = 86,302,935.13
  5. Step 5: Solve for x
    x = 86,302,935.13/9,898.14
  6. Step 6: Final answer
    x = 8,719.11

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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.