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Finding the Fourth Proportional to 9,587.58, 14,376.51 and 4,389

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Solution

The fourth proportional to 9,587.58, 14,376.51 and 4,389 is: 6,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.58 : 14,376.51 = 4,389 : x
  2. Step 2: Convert to fraction form
    9,587.58/14,376.51 = 4,389/x
  3. Step 3: Cross multiply
    9,587.58x = 14,376.51 × 4,389
  4. Step 4: Simplify right side
    9,587.58x = 63,098,502.39
  5. Step 5: Solve for x
    x = 63,098,502.39/9,587.58
  6. Step 6: Final answer
    x = 6,581.28

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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.