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Finding the Fourth Proportional to 9,932.95, 13,710.23 and 5,686.39

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Solution

The fourth proportional to 9,932.95, 13,710.23 and 5,686.39 is: 7,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.95 : 13,710.23 = 5,686.39 : x
  2. Step 2: Convert to fraction form
    9,932.95/13,710.23 = 5,686.39/x
  3. Step 3: Cross multiply
    9,932.95x = 13,710.23 × 5,686.39
  4. Step 4: Simplify right side
    9,932.95x = 77,961,714.77
  5. Step 5: Solve for x
    x = 77,961,714.77/9,932.95
  6. Step 6: Final answer
    x = 7,848.80

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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.