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Finding the Fourth Proportional to 9,071.60, 12,518.12 and 5,038.65

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Solution

The fourth proportional to 9,071.60, 12,518.12 and 5,038.65 is: 6,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.60 : 12,518.12 = 5,038.65 : x
  2. Step 2: Convert to fraction form
    9,071.60/12,518.12 = 5,038.65/x
  3. Step 3: Cross multiply
    9,071.60x = 12,518.12 × 5,038.65
  4. Step 4: Simplify right side
    9,071.60x = 63,074,437.93
  5. Step 5: Solve for x
    x = 63,074,437.93/9,071.60
  6. Step 6: Final answer
    x = 6,952.96

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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.