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Finding the Fourth Proportional to 9,901.84, 13,665.72 and 5,710

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Solution

The fourth proportional to 9,901.84, 13,665.72 and 5,710 is: 7,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.84 : 13,665.72 = 5,710 : x
  2. Step 2: Convert to fraction form
    9,901.84/13,665.72 = 5,710/x
  3. Step 3: Cross multiply
    9,901.84x = 13,665.72 × 5,710
  4. Step 4: Simplify right side
    9,901.84x = 78,031,261.20
  5. Step 5: Solve for x
    x = 78,031,261.20/9,901.84
  6. Step 6: Final answer
    x = 7,880.48

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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.