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Finding the Fourth Proportional to 9,681.88, 14,529.72 and 4,417.60

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Solution

The fourth proportional to 9,681.88, 14,529.72 and 4,417.60 is: 6,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.88 : 14,529.72 = 4,417.60 : x
  2. Step 2: Convert to fraction form
    9,681.88/14,529.72 = 4,417.60/x
  3. Step 3: Cross multiply
    9,681.88x = 14,529.72 × 4,417.60
  4. Step 4: Simplify right side
    9,681.88x = 64,186,491.07
  5. Step 5: Solve for x
    x = 64,186,491.07/9,681.88
  6. Step 6: Final answer
    x = 6,629.55

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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.