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Finding the Fourth Proportional to 9,901.95, 13,663.80 and 5,654.04

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Solution

The fourth proportional to 9,901.95, 13,663.80 and 5,654.04 is: 7,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.95 : 13,663.80 = 5,654.04 : x
  2. Step 2: Convert to fraction form
    9,901.95/13,663.80 = 5,654.04/x
  3. Step 3: Cross multiply
    9,901.95x = 13,663.80 × 5,654.04
  4. Step 4: Simplify right side
    9,901.95x = 77,255,671.75
  5. Step 5: Solve for x
    x = 77,255,671.75/9,901.95
  6. Step 6: Final answer
    x = 7,802.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.