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Finding the Fourth Proportional to 9,303.19, 12,838.23 and 5,270.00

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Solution

The fourth proportional to 9,303.19, 12,838.23 and 5,270.00 is: 7,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.19 : 12,838.23 = 5,270.00 : x
  2. Step 2: Convert to fraction form
    9,303.19/12,838.23 = 5,270.00/x
  3. Step 3: Cross multiply
    9,303.19x = 12,838.23 × 5,270.00
  4. Step 4: Simplify right side
    9,303.19x = 67,657,407.91
  5. Step 5: Solve for x
    x = 67,657,407.91/9,303.19
  6. Step 6: Final answer
    x = 7,272.50

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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.