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Finding the Fourth Proportional to 9,807.06, 13,534 and 5,331.11

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Solution

The fourth proportional to 9,807.06, 13,534 and 5,331.11 is: 7,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.06 : 13,534 = 5,331.11 : x
  2. Step 2: Convert to fraction form
    9,807.06/13,534 = 5,331.11/x
  3. Step 3: Cross multiply
    9,807.06x = 13,534 × 5,331.11
  4. Step 4: Simplify right side
    9,807.06x = 72,151,242.74
  5. Step 5: Solve for x
    x = 72,151,242.74/9,807.06
  6. Step 6: Final answer
    x = 7,357.08

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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.