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Finding the Fourth Proportional to 9,437.52, 14,158.02 and 4,507.50

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Solution

The fourth proportional to 9,437.52, 14,158.02 and 4,507.50 is: 6,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.52 : 14,158.02 = 4,507.50 : x
  2. Step 2: Convert to fraction form
    9,437.52/14,158.02 = 4,507.50/x
  3. Step 3: Cross multiply
    9,437.52x = 14,158.02 × 4,507.50
  4. Step 4: Simplify right side
    9,437.52x = 63,817,275.15
  5. Step 5: Solve for x
    x = 63,817,275.15/9,437.52
  6. Step 6: Final answer
    x = 6,762.08

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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.