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Finding the Fourth Proportional to 9,970.70, 13,761.55 and 5,724.63

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Solution

The fourth proportional to 9,970.70, 13,761.55 and 5,724.63 is: 7,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.70 : 13,761.55 = 5,724.63 : x
  2. Step 2: Convert to fraction form
    9,970.70/13,761.55 = 5,724.63/x
  3. Step 3: Cross multiply
    9,970.70x = 13,761.55 × 5,724.63
  4. Step 4: Simplify right side
    9,970.70x = 78,779,781.98
  5. Step 5: Solve for x
    x = 78,779,781.98/9,970.70
  6. Step 6: Final answer
    x = 7,901.13

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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.