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Finding the Fourth Proportional to 9,277.04, 13,913.40 and 4,341.98

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Solution

The fourth proportional to 9,277.04, 13,913.40 and 4,341.98 is: 6,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.04 : 13,913.40 = 4,341.98 : x
  2. Step 2: Convert to fraction form
    9,277.04/13,913.40 = 4,341.98/x
  3. Step 3: Cross multiply
    9,277.04x = 13,913.40 × 4,341.98
  4. Step 4: Simplify right side
    9,277.04x = 60,411,704.53
  5. Step 5: Solve for x
    x = 60,411,704.53/9,277.04
  6. Step 6: Final answer
    x = 6,511.96

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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.