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Finding the Fourth Proportional to 9,935.22, 13,710.78 and 5,459.16

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Solution

The fourth proportional to 9,935.22, 13,710.78 and 5,459.16 is: 7,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.22 : 13,710.78 = 5,459.16 : x
  2. Step 2: Convert to fraction form
    9,935.22/13,710.78 = 5,459.16/x
  3. Step 3: Cross multiply
    9,935.22x = 13,710.78 × 5,459.16
  4. Step 4: Simplify right side
    9,935.22x = 74,849,341.74
  5. Step 5: Solve for x
    x = 74,849,341.74/9,935.22
  6. Step 6: Final answer
    x = 7,533.74

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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.