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Finding the Fourth Proportional to 9,935.32, 13,710.74 and 5,459.06

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Solution

The fourth proportional to 9,935.32, 13,710.74 and 5,459.06 is: 7,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.32 : 13,710.74 = 5,459.06 : x
  2. Step 2: Convert to fraction form
    9,935.32/13,710.74 = 5,459.06/x
  3. Step 3: Cross multiply
    9,935.32x = 13,710.74 × 5,459.06
  4. Step 4: Simplify right side
    9,935.32x = 74,847,759.29
  5. Step 5: Solve for x
    x = 74,847,759.29/9,935.32
  6. Step 6: Final answer
    x = 7,533.50

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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.