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Finding the Fourth Proportional to 9,573.77, 14,360.66 and 4,376

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Solution

The fourth proportional to 9,573.77, 14,360.66 and 4,376 is: 6,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.77 : 14,360.66 = 4,376 : x
  2. Step 2: Convert to fraction form
    9,573.77/14,360.66 = 4,376/x
  3. Step 3: Cross multiply
    9,573.77x = 14,360.66 × 4,376
  4. Step 4: Simplify right side
    9,573.77x = 62,842,248.16
  5. Step 5: Solve for x
    x = 62,842,248.16/9,573.77
  6. Step 6: Final answer
    x = 6,564.00

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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.