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Finding the Fourth Proportional to 9,911.19, 14,871.64 and 4,363.84

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Solution

The fourth proportional to 9,911.19, 14,871.64 and 4,363.84 is: 6,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.19 : 14,871.64 = 4,363.84 : x
  2. Step 2: Convert to fraction form
    9,911.19/14,871.64 = 4,363.84/x
  3. Step 3: Cross multiply
    9,911.19x = 14,871.64 × 4,363.84
  4. Step 4: Simplify right side
    9,911.19x = 64,897,457.50
  5. Step 5: Solve for x
    x = 64,897,457.50/9,911.19
  6. Step 6: Final answer
    x = 6,547.90

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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.