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Finding the Fourth Proportional to 10,466.06, 14,415.08 and 9,677.79

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Solution

The fourth proportional to 10,466.06, 14,415.08 and 9,677.79 is: 13,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.06 : 14,415.08 = 9,677.79 : x
  2. Step 2: Convert to fraction form
    10,466.06/14,415.08 = 9,677.79/x
  3. Step 3: Cross multiply
    10,466.06x = 14,415.08 × 9,677.79
  4. Step 4: Simplify right side
    10,466.06x = 139,506,068.68
  5. Step 5: Solve for x
    x = 139,506,068.68/10,466.06
  6. Step 6: Final answer
    x = 13,329.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.