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Finding the Fourth Proportional to 9,095.84, 13,636.86 and 4,710.50

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Solution

The fourth proportional to 9,095.84, 13,636.86 and 4,710.50 is: 7,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.84 : 13,636.86 = 4,710.50 : x
  2. Step 2: Convert to fraction form
    9,095.84/13,636.86 = 4,710.50/x
  3. Step 3: Cross multiply
    9,095.84x = 13,636.86 × 4,710.50
  4. Step 4: Simplify right side
    9,095.84x = 64,236,429.03
  5. Step 5: Solve for x
    x = 64,236,429.03/9,095.84
  6. Step 6: Final answer
    x = 7,062.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.