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Finding the Fourth Proportional to 9,437.68, 13,004.80 and 7,300.23

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Solution

The fourth proportional to 9,437.68, 13,004.80 and 7,300.23 is: 10,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.68 : 13,004.80 = 7,300.23 : x
  2. Step 2: Convert to fraction form
    9,437.68/13,004.80 = 7,300.23/x
  3. Step 3: Cross multiply
    9,437.68x = 13,004.80 × 7,300.23
  4. Step 4: Simplify right side
    9,437.68x = 94,938,031.10
  5. Step 5: Solve for x
    x = 94,938,031.10/9,437.68
  6. Step 6: Final answer
    x = 10,059.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.