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Finding the Fourth Proportional to 9,709.61, 14,569.25 and 4,444.61

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Solution

The fourth proportional to 9,709.61, 14,569.25 and 4,444.61 is: 6,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.61 : 14,569.25 = 4,444.61 : x
  2. Step 2: Convert to fraction form
    9,709.61/14,569.25 = 4,444.61/x
  3. Step 3: Cross multiply
    9,709.61x = 14,569.25 × 4,444.61
  4. Step 4: Simplify right side
    9,709.61x = 64,754,539.17
  5. Step 5: Solve for x
    x = 64,754,539.17/9,709.61
  6. Step 6: Final answer
    x = 6,669.12

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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.