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Finding the Fourth Proportional to 9,937.30, 14,881.65 and 4,737.10

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Solution

The fourth proportional to 9,937.30, 14,881.65 and 4,737.10 is: 7,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.30 : 14,881.65 = 4,737.10 : x
  2. Step 2: Convert to fraction form
    9,937.30/14,881.65 = 4,737.10/x
  3. Step 3: Cross multiply
    9,937.30x = 14,881.65 × 4,737.10
  4. Step 4: Simplify right side
    9,937.30x = 70,495,864.22
  5. Step 5: Solve for x
    x = 70,495,864.22/9,937.30
  6. Step 6: Final answer
    x = 7,094.07

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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.