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Finding the Fourth Proportional to 9,574.84, 14,362.28 and 8,875

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Solution

The fourth proportional to 9,574.84, 14,362.28 and 8,875 is: 13,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.84 : 14,362.28 = 8,875 : x
  2. Step 2: Convert to fraction form
    9,574.84/14,362.28 = 8,875/x
  3. Step 3: Cross multiply
    9,574.84x = 14,362.28 × 8,875
  4. Step 4: Simplify right side
    9,574.84x = 127,465,235
  5. Step 5: Solve for x
    x = 127,465,235/9,574.84
  6. Step 6: Final answer
    x = 13,312.52

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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.