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Finding the Fourth Proportional to 9,530.84, 13,152.54 and 5,339

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Solution

The fourth proportional to 9,530.84, 13,152.54 and 5,339 is: 7,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.84 : 13,152.54 = 5,339 : x
  2. Step 2: Convert to fraction form
    9,530.84/13,152.54 = 5,339/x
  3. Step 3: Cross multiply
    9,530.84x = 13,152.54 × 5,339
  4. Step 4: Simplify right side
    9,530.84x = 70,221,411.06
  5. Step 5: Solve for x
    x = 70,221,411.06/9,530.84
  6. Step 6: Final answer
    x = 7,367.81

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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.